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Finding the Third Proportional to 302,042.25 and 423,309.38

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Solution

The third proportional to 302,042.25 and 423,309.38 is: 593,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042.25 : 423,309.38 = 423,309.38 : x
  2. Step 2: Convert to fraction form
    302,042.25/423,309.38 = 423,309.38/x
  3. Step 3: Cross multiply
    302,042.25x = 423,309.38 × 423,309.38
  4. Step 4: Simplify right side
    302,042.25x = 179,190,826,962.89
  5. Step 5: Solve for x
    x = 179,190,826,962.89/302,042.25
  6. Step 6: Final answer
    x = 593,264.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.